ROBUST STABILIZATION OF LARGE-SCALE SYSTEMS WITH NONLINEAR UNCERTAINTIES VIA DECENTRALIZED STATE-FEEDBACK

The present paper is concerned with the decentralized stabilization pr oblem for a class of large-scale systems with time-varying interconnec ted matrices and nonlinear uncertainties. A new sufficient condition i s proposed for asymptotically stabilizing the large-scale perturbed sy stems with a prescribed stability degree by using decentralized state- feedback controllers. All the information needed here is only the poss ible bound's of the time-varying interconnected matrices and nonlinear uncertainties. This condition is shown to be less conservative than t he ones reported recently. The results can be extended to a class of l arge-scale systems with delays. Two illustrative examples are included to demonstrate the superiority of the obtained results. (C) 1998 The Franklin Institute. Published by Elsevier Science Ltd.